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<p>In this paper, we generalize the concept of a recurrent operator to include recurrent tuples of operators. In addition, we investigate some spectral properties of these recurrent tuples. Moreover, we provide sufficient conditions for pairs of (weighted) backward shift operators acting on double sequence spaces to be recurrent.</p>

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Recurrent Tuples and Backward Shifts on Double Sequence Spaces

  • 期刊论文

  • 发表日期：

    2025年12月10日

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  • Mohamed Amouch,
  • Otmane Benchiheb,
  • El Mostafa Sadouk

摘要

In this paper, we generalize the concept of a recurrent operator to include recurrent tuples of operators. In addition, we investigate some spectral properties of these recurrent tuples. Moreover, we provide sufficient conditions for pairs of (weighted) backward shift operators acting on double sequence spaces to be recurrent.